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Simplifying 5(5x + -4) = 4(x + -5) Reorder the terms: 5(-4 + 5x) = 4(x + -5) (-4 * 5 + 5x * 5) = 4(x + -5) (-20 + 25x) = 4(x + -5) Reorder the terms: -20 + 25x = 4(-5 + x) -20 + 25x = (-5 * 4 + x * 4) -20 + 25x = (-20 + 4x) Add '20' to each side of the equation. -20 + 20 + 25x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 0 + 25x = -20 + 20 + 4x 25x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 25x = 0 + 4x 25x = 4x Solving 25x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25x + -4x = 4x + -4x Combine like terms: 25x + -4x = 21x 21x = 4x + -4x Combine like terms: 4x + -4x = 0 21x = 0 Divide each side by '21'. x = 0 Simplifying x = 0
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